document.write( "Question 1094939: Im not sure what formula to use for this problem\r
\n" ); document.write( "\n" ); document.write( "Find the diameter of a circle that has an arc length of 36.90 cm and a central angle of 128 degrees 18 minutes. Round to 1 decimal place. \n" ); document.write( "

Algebra.Com's Answer #709514 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Use the formula \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "S =    (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "for the arc length S, where \"r\" is the circle radius and  is the central angle in radians.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To use it, you need first to convert 128 degs 18 minutes to radians.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "128 degs 18 minutes = 128*60 + 18 minutes = 7698 minutes.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " radians = 360 degs = 360*60 = 21600 minutes.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, 128 degs and 18 nimutes =  = 2.2381 radians.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, your equation (1) now becomes\r\n" );
document.write( "\r\n" );
document.write( "36.90 = 2.2381*r.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From it,  calculate r = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then double your \"r\" to get he diameter.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );